各向异性的

As the foundation of ultrasonic testing of composite materials, this thesis is intended to explore in detail a number of features of wave propagation in anisotropic plates, and the following essential problems will be considered:(1) Propagation of plane bulk waves in homogeneous and orthotropic anisotropic media;(2) Lamb wave propagation in multilayered anisotropic plates;(3) Influence of isotropic solid or liquid loading on Lamb wave propagation in anisotropic solid media;(4) Influence of interface layers on Lamb wave propagation in layered anisotropic composite laminates;(5) Dispersion characteristic analysis of attenuation Lamb wave while existing an thin viscous layer which is used for simulating the poor curing in adhesively bonded joints.

作为复合材料超声检测的基础，本文研究了如下国际前沿性的课题：（1）平面体波在正交均匀各向异性媒质中的传播；（2）多层各向异性媒质中Lamb波的传播；（3）各向同性固体或液体负载对各向异性固体媒质中Lamb波传播的影响；（4）界面层对层状各向异性复合媒质中Lamb波传播的影响；（5）胶粘剂未固化而呈现粘弹性时粘接结构中衰减Lamb波的频散特性分析。

Using group theory, author researched the theoretical discriminating method of rock aeolotropy types from aeolotropy type of rock, elastic symmetrical direction and the number of independent elastic parameter of rock and established the aeolotropy discriminant criteria of transversely isotropic rock and orthotropic rock first time.

论文首次运用群论的方法，从岩石材料各向异性类别、岩石材料的弹性对称方向和独立弹性参数的个数三个方面入手，研究了岩石材料各向异性类别的理论判别方法，并建立了横观各向同性的各向异性体和正交类各向异性体的各向异性类别判别体系。

Based on the laminate theory, a laminate weakened by damage is treated as an anisotropic thin plate. Using the complex potential method in the plane theory of elasticity of an anisotropic body, the series solution of finite anisotropic thin plate containing an elliptical inclusion is proposed with the help of Faber series. A hybrid element with an elliptical inclusion for anisotropic materials is obtained by using the hybrid variable principle, and the element efficiency is verified by numerical examples. The state of the damage is modeled by an elliptical soft inclusion, and using the point stress criterion based on characteristic curve and Yamada-Sun etc. criteria, the prediction of the strength of a composite laminate with damage is set up. The effects of various parameters on the stress distribution and the residual strength of a composite laminate weakened by damage are detailedly studied.

首先基于经典层板理论，将复合材料层板的弹性问题化归为均匀各向异性板来求解；采用各向异性体平面弹性理论中的复势方法，以Faber级数为工具，给出了有限大含椭圆核各向异性板弹性问题的级数解形式；利用杂交变分原理，成功导出含椭圆核各向异性板杂交应力有限元，并用算例验证了该单元的可行性和有效性；采用含刚度折减椭圆形弹性核的冲击损伤模型，引入基于特征曲线和Yamada-Sun破坏准则的点应力判据，建立了含损伤复合材料层板剩余强度的分析方法；通过数值计算详细讨论了各种几何参数对损伤层板应力分布、剩余强度的影响，得到了一系列对工程应用具有实用价值的结论。

This dissertation discusses the anisotropic behavior of soft clay and its effect on the deformation of excavations based on the study of other researchers. The main achievements of this thesis are as follows: 1 Firstly, an anisotropic bounding surface constitutive model(Wei, 2005) is recommended, secondly, the deformation of triaxial compression tests and triaxial extension tests under condition of isotropic consolidation is analyzed qualitatively.

基于此，本文在前人研究的基础上，探讨了土体的初始各向异性以及应力诱发各向异性对基坑开挖变形的影响，取得了如下研究成果： 1、利用魏星(2005)提出的各向异性弹塑性本构模型，分析了具有初始各向异性土样在等向固结三轴压缩和拉伸试验中的变形特性。

According to that characteristic and based on the differential equation of the deformed surface of the orthotropic plate, with one principal direction size fixed, changing another principal direction size linearly, maintaining elasticity coefficient the same as in the first principal direction and Poisson ratio equal to the geometric mean of two principal Poisson ratios, the original orthogonal plate is equivalent to an isotropic plate. Results obtained show that the deflections of the equivalent isotropic plate are the same as the deflections of the original orthotropic plate at the corresponding points, the forces of the correspondent points have simple relations.

根据这一特性、从正交各向异性板挠曲面的偏微分方程出发，保持一个主方向尺寸不变，另一主方向的尺寸做线性缩放，保持弹性模量与第一主方向相同，泊松比取2个主方向泊松比的几何平均值，将这类正交各向异性板等效为一块各向同性板；通过分析得到：各向同性板任意点的挠度就是原正交各向异性板对应点的挠度，各对应点内力之间存在简单的比例关系，该文的方法将为工程技术人员提供方便，同时可以更加直观的认识正交各向异性板的受力。

Applying the triangular element to the stationary Stokes equation, we obtain error analysis and optimal convergent order of approximation solution.

对于各向异性三角形元和各向异性四面体元，我们分别讨论了它们的各向异性插值，将它们应用于定常Stokes方程，我们研究了有限元空间不满足散度条件的各向异性非协调有限元解法，同样得到了逼近解的误差分析和最优收敛阶。

This paper systemically introduces the history and current status of the study on the problem of orthotropism and displacement back analysis, recounts and concludes the analysis theory about anisotropic rock mass, brings forward some models of displacement back analysis of the rock such as layered orthotropic model, proportional coefficient model, layered homogeneous model and equivalent simplificated model, and establishes target unknown, target functions and arithmetic for these models respectively, through analyzing the character of layered orthotropic rock mass.

本文系统介绍了正交各向异性问题和位移反分析方法研究的历史与现状，叙述与归纳了各向异性岩体的分析理论，通过分析成层正交各向异性岩体的特点，对该类岩体的反分析方法提出了分层正交各向异性模型、比例系数模型、分层均质模型和等效简化模型，并对各类模型分别确定了目标未知数、目标函数与算法。

In chapter two we have extended the Mie theory to handle the scattering properties of 4 kinds of dielectric sphere with anisotropy (magnetically gyotropic anisotropy, electrically gyrotropic anisotropy, uniaxially dielectric anisotropy, biaxially dielectric anisotropy), the scattering matrices are obtained.

在第二章，我们推广了Mie散射理论并将其用于研究4类各向异性(旋磁各向异性、旋电各向异性、单轴及双轴各向异性)介质球的散射特性，并最终得出散射矩阵。

The contents of this dissertation are involved in studies on quasi steady-state condition of a slow speed-varying rotor system, gain-scheduling control of a quasi steady-state rotor active balancing system, adaptive control of active balancing for a fast speed-varying rotor with actuator time delay and adaptive control of active balancing for a fast speed-varying rotor with actuator saturation. The rotors to be studied include a Jeffcott rotor, a Jeffcott rotor with anisotropic bearings, a flexible rotor with single collocated balancing plane (actuator plane and measuring plane are almost the same one) and a flexible rotor with multiple collocated balancing planes.

研究的内容涉及慢变速转子的准稳态条件、变速准稳态转子主动平衡系统的增益调度控制、带作动器时迟的快变速转子主动平衡系统的自适应控制与带作动器饱和的快变速转子主动平衡系统的自适应控制，转子类型包括Jeffcott转子、轴承各向异性的Jeffcott转子、单并置平衡平面(作动器和测量平面几乎在同一个平面)的柔性转子和多并置平衡平面的柔性转子。

By importing anisotropic parameters, quantitatively achieved coal beds'anisotropies, and found that most coal beds adapt to weak anisotropic theory.

通过引入各向异性参数，定量计算了煤层的各向异性参数值，发现煤层在多数情况下满足弱各向异性假设。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。